230807820 has 96 divisors (see below), whose sum is σ = 683585280. Its totient is φ = 58026240.

The previous prime is 230807809. The next prime is 230807821. The reversal of 230807820 is 28708032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (230807821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333675 + ... + 334365.

It is an arithmetic number, because the mean of its divisors is an integer number (7120680).

Almost surely, 2^230807820 is an apocalyptic number.

230807820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230807820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341792640).

230807820 is an abundant number, since it is smaller than the sum of its proper divisors (452777460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230807820 is a wasteful number, since it uses less digits than its factorization.

230807820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 230807820 is about 15192.3605802390. The cubic root of 230807820 is about 613.4090414053.

The spelling of 230807820 in words is "two hundred thirty million, eight hundred seven thousand, eight hundred twenty".